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Finding the Fourth Proportional to 7,251.24, 10,881.71 and 4,656.00

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Solution

The fourth proportional to 7,251.24, 10,881.71 and 4,656.00 is: 6,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.24 : 10,881.71 = 4,656.00 : x
  2. Step 2: Convert to fraction form
    7,251.24/10,881.71 = 4,656.00/x
  3. Step 3: Cross multiply
    7,251.24x = 10,881.71 × 4,656.00
  4. Step 4: Simplify right side
    7,251.24x = 50,665,198.99
  5. Step 5: Solve for x
    x = 50,665,198.99/7,251.24
  6. Step 6: Final answer
    x = 6,987.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.